Interpret the equation a (x+3) + (1)/(a x) = 2 _a2

Step 1: Interpret the equation.
The given equation is:

$$\log_a (x+3) + \frac{1}{\log_a x} = 2 \log_a^2$$

First, let's clarify the right-hand side (RHS). The notation $2 \log_a^2$ is ambiguous. Based on common mathematical conventions and the appearance in the image, it is most likely interpreted as $2 \log_a 2$.
Using the logarithm power rule, $n \log b = \log b^n$:

$$2 \log_a 2 = \log_a 2^2 = \log_a 4$$

So the equation becomes:

$$$$